225735 has 16 divisors (see below), whose sum is σ = 367200. Its totient is φ = 118400.

The previous prime is 225733. The next prime is 225749. The reversal of 225735 is 537522.

It is not a de Polignac number, because 225735 - 2¹ = 225733 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

225735 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2²²⁵⁷³⁵ is an apocalyptic number.

225735 is a deficient number, since it is larger than the sum of its proper divisors (141465).

225735 is a wasteful number, since it uses less digits than its factorization.

225735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its digits is 2100, while the sum is 24.

The square root of 225735 is about 475.1157753643. The cubic root of 225735 is about 60.8881763927. Note that the first 3 decimals are identical.

It can be divided in two parts, 22573 and 5, that added together give a triangular number (22578 = T₂₁₂).

The spelling of 225735 in words is "two hundred twenty-five thousand, seven hundred thirty-five".